Extending a Hybrid Godunov Method for Radiation Hydrodynamics to Multiple Dimensions

Details Extending a Hybrid Godunov Method for Radiation Hydrodynamics to Multiple Dimensions Extending a Hybrid Godunov Method for Radiation Hydrodynamics to Multiple Dimensions

2010-09-04

arxiv.org/abs/1009.0875v1

Physics

Computational Physics

25 pages

Scientific paper

This paper presents a hybrid Godunov method for three-dimensional radiation hydrodynamics. The multidimensional technique outlined in this paper is an extension of the one-dimensional method that was developed by Sekora & Stone 2009, 2010. The earlier one-dimensional technique was shown to preserve certain asymptotic limits and be uniformly well behaved from the photon free streaming (hyperbolic) limit through the weak equilibrium diffusion (parabolic) limit and to the strong equilibrium diffusion (hyperbolic) limit. This paper gives the algorithmic details for constructing a multidimensional method. A future paper will present numerical tests that demonstrate the robustness of the computational technique across a wide-range of parameter space.

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